Recursion operators for dispersionless integrable systems in any dimension
Exactly Solvable and Integrable Systems
2015-05-28 v2
Abstract
We present a new approach to construction of recursion operators for multidimensional integrable systems which have a Lax-type representation in terms of a pair of commuting vector fields. It is illustrated by the examples of the Manakov--Santini system which is a hyperbolic system in N dependent and N + 4 independent variables, where N is an arbitrary natural number, the six-dimensional generalization of the first heavenly equation, the modified heavenly equation, and the dispersionless Hirota equation.
Cite
@article{arxiv.1107.0784,
title = {Recursion operators for dispersionless integrable systems in any dimension},
author = {M. Marvan and A. Sergyeyev},
journal= {arXiv preprint arXiv:1107.0784},
year = {2015}
}
Comments
revised version (introduction, section 5, and bibliography expanded), 10 pages, LaTeX, no figures